Answer:
- Dien - 15 seconds, Jane - 10 seconds
Step-by-step explanation:
<u>Together:</u>
- 2/3 of pizza ⇒ 4 seconds
- Full pizza ⇒ 4 ÷ 2/3 = 6 seconds
Dien needs x seconds to eat pizza
Jane needs x - 5 seconds to eat pizza
<u><em>In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza</em></u>
- 1/x + 1/(x - 5) = 1/6
- x(x - 5) = 6(x + x - 5)
- x² - 5x - 12x + 30 = 0
- x² - 17x + 30 = 0
- (x - 15)(x - 2) = 0
- x = 15 (x = 2 is discounted as not realistic)
Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds
X=7
y=-2
.................................................................
Answer:
6x - 3
Step-by-step explanation:
Distribute first.
4x + 6x - 3 - 4x = 10x - 4x - 3 = 6x - 3
Answer: 26 years.
Step-by-step explanation:
Let x = current age of Louise (in years).
Then current age of James = x+6
Eight years from now, James's age = x+6+8= x+14
4 years ago, Louise's age = x-4
According to the question
x+14 = 4(x-4)
⇒ x+14 = 4x-16
⇒ 4x-x = 16+14
⇒ 3x = 30
⇒ x= 10 = current age of Louise (in years).
current age of James = 10+6 = 16 years
Sum of current ages = 16+10=26 years.
hence, the sum of the current ages is 26 years.
Answer:
Associative Property of Addition
Step-by-step explanation:
When you add, you can group the numbers in any combination.